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Reflection
We know, reflection is a known word and is related to the subject of physics and mathematics. When an object is place before the mirror, the image is formed behind the mirror. This is called reflection.
More detailed information about reflection:
When the object M is placed before the plane mirror, then
● Its image M’ if found behind the mirror at an equal distance from O.
● Mirror line is the perpendicular bisector of the line joining the object
and its image.
● M’ is called the reflection (image) of M.
● ST is called the axis of reflection.
Solved examples on reflection:
1. Draw a line XZ and make point M outside the line. Now find M’ the image of M.
Solution:
From M, draw a perpendicular to line XZ, intersecting at O.
Extend MO to OM’, such that MO = OM’
Therefore M’ is the image (reflection) of M and XZ acts as a mirror line.
2. Draw a line AB. Also, draw a line segment MN outside the line. Now find the image of MN.
Solution:
From M and N, draw two perpendiculars to line AB intersecting at C and D such that CM = CM’ and DN = DN’.
Join M’ and N’.
Therefore, M’N’ is the reflection (image) of MN.
● Related Concepts
● Order of Rotational Symmetry
● Reflection of a Point in x-axis
● Reflection of a Point in y-axis
● Reflection of a point in origin
● Rotation
● 90 Degree Clockwise Rotation
● 90 Degree Anticlockwise Rotation
7th Grade Math Problems
8th Grade Math Practice
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